5583200 has 72 divisors (see below), whose sum is σ = 15592752. Its totient is φ = 1912320.

The previous prime is 5583199. The next prime is 5583203. The reversal of 5583200 is 23855.

5583200 = T₁₆₀ + T₁₆₁ + ... + T₃₃₄.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5583203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5102 + ... + 6098.

It is an arithmetic number, because the mean of its divisors is an integer number (216566).

Almost surely, 2^5583200 is an apocalyptic number.

5583200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796376).

5583200 is an abundant number, since it is smaller than the sum of its proper divisors (10009552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5583200 is a wasteful number, since it uses less digits than its factorization.

5583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 5583200 is about 2362.8795991332. The cubic root of 5583200 is about 177.4030416708.

The spelling of 5583200 in words is "five million, five hundred eighty-three thousand, two hundred".